Імітаційна модель для дослідження ієрархічних систем управління оперативним угруповуванням військ

Problem Statement. One of the priority tasks of Ukraine's defense reform is establishing an effective troop management system (TMS). However, existing methodological approaches for studying troop management processes lack a unified mathematical model, making it difficult to justify requirements for TMS. The absence of a standardized methodology leads to expert assessments without proper process modeling, which reduces the quality of decision-making. Therefore, developing a simulation model that enables the evaluation of different TMS structures and assesses the effectiveness of management decisions is a relevant scientific challenge. Research Methods. The study applies control theory methods, including multi-parameter identification, simulation modeling, and decision optimization. The developed model, implemented in MATLAB Simulink, uses discrete-event simulation to analyze troop management dynamics. System dynamics and network analysis are integrated to evaluate decision-making efficiency at different command levels. Analysis of Recent Research and Publications. Recent studies highlight the growing role of simulation modeling, AI, and agent-based approaches in military command systems. Advances in AI-driven wargaming, digital twins, and decision optimization enhance operational effectiveness. However, existing models remain fragmented, lacking a unified methodology for evaluating hierarchical command structures. This study addresses these gaps by developing a comprehensive simulation model for troop management analysis. Main Material Presentation. This study introduces a simulation model for hierarchical troop management based on control theory. The model integrates strategic, operational, and tactical levels, using differential equations to analyze decision-making efficiency. Implemented in MATLAB Simulink, it evaluates command structures and optimizes management processes. The model enhances adaptability and decision accuracy, addressing gaps in existing methodologies. Elements of Scientific Novelty. The study presents a novel simulation model for hierarchical troop management, integrating control theory and multi-level decision analysis. Unlike existing models, it provides a unified mathematical framework for assessing command efficiency. The approach improves operational adaptability by simulating dynamic decision-making processes and optimizing troop management structures. Theoretical and Practical Significance of the Article. The study enhances troop management theory by introducing a unified simulation model based on control principles. It provides a tool for military command to optimize decision-making, improve operational efficiency, and enhance adaptability in dynamic combat environments. The model can be applied in defense planning and training. Conclusions and Future Research Prospects. The developed simulation model enhances troop management efficiency by providing a structured framework for decision-making analysis. It improves adaptability and optimization of command structures. Future research will focus on refining the model’s parameters, incorporating real-time data, and expanding its applicability to complex military operations. Keywords: troop management system, simulation modeling, multi-level hierarchical structure, control theory, decision optimization, mathematical model, management process analysis, adaptability of management decisions.